42565320 has 288 divisors, whose sum is σ = 170726400. Its totient is φ = 9144576.

The previous prime is 42565309. The next prime is 42565321. The reversal of 42565320 is 2356524.

42565320 is a `hidden beast` number, since 4 + 2 + 5 + 653 + 2 + 0 = 666.

42565320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (42565321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 335097 + ... + 335223.

It is an arithmetic number, because the mean of its divisors is an integer number (592800).

Almost surely, 2^42565320 is an apocalyptic number.

42565320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42565320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85363200).

42565320 is an abundant number, since it is smaller than the sum of its proper divisors (128161080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42565320 is a wasteful number, since it uses less digits than its factorization.

42565320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 42565320 is about 6524.2102970398. The cubic root of 42565320 is about 349.1552963326.

The spelling of 42565320 in words is "forty-two million, five hundred sixty-five thousand, three hundred twenty".